On semi-commutativity of \(n\)-ary groups. (Q2878121)
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scientific article; zbMATH DE number 6335574
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On semi-commutativity of \(n\)-ary groups. |
scientific article; zbMATH DE number 6335574 |
Statements
28 August 2014
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semi-commutative \(n\)-ary groups
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self-returning elements
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vectors of \(n\)-ary groups
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On semi-commutativity of \(n\)-ary groups. (English)
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The development of the theory of \(n\)-ary groups in affine geometry is closely connected with the notions of semi-commutativity and commutativity. In this paper the authors continue the study of the geometry of \(n\)-ary groups [\textit{Yu. I. Kulazhenko}, Algebra Discrete Math. 2010, No. 2, 98-107 (2010; Zbl 1209.20072)]. New criteria of semi-commutativity expressed in terms of properties of vectors of \(n\)-ary groups are obtained.
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